when the denominators are the same, the fraction with the _____ is the largest fraction ​

Answer:

Step-by-step explanation:

Domain - Set of x-values

Range - Set of y-values

3). Since, x values vary from x = -6 to x = 5,

    Domain of the graph = [-6, 5]

    Since, y-values vary from y = -2 to y = 3

    Range of the graph = [-2, 3]

4). Domain of the graph = [-3, 3]

    Range of the graph = [-6, 5]

5). Domain of the graph = (-∞, ∞)

    Range of the graph = (-∞, ∞)

6). Domain of the graph = (-∞, 4]

    Range of the graph = (-∞, ∞)

7). Domain of the graph = (-∞, ∞)

    Range of the graph = [-1, 5]

8) Domain of the graph = [-1, 5)

    Range of the graph = [-3, 3)

Answer:

Step-by-step explanation:

Answer:

a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

b) The rate of increase after one day is of 0.0915.

Step-by-step explanation:

The brightness after t days is given by:

[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]

A) Find the rate of change of the brightness after t days.

This is [tex]B^{\prime}(t)[/tex]

The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]

So, in this case, we have that:

[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]

B) Find the rate of increase after one day.

This is [tex]B^{\prime}(1)[/tex]. So

[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]

The rate of increase after one day is of 0.0915.

Answer:

x = 2

Step-by-step explanation:

4x - 2 = 22 - 8x

Move all variables to a single side by adding 8x to both sides of the equation.

4x + 8x - 2 = 22 - 8x + 8x

12x - 2 = 22

Add 2 to both sides to move the constants to one side.

12x - 2 + 2 = 22 + 2

12x = 24

Divide both sides by 12 to isolate the x.

12x / 12 = 24 / 12

x = 2

Answer:

x = 2

Step-by-step explanation:

Add 2 to both sides.

4x - 2 +2 = 22 - 8x + 2

Simplify.

4x=-8+24

Add 8x to both sides.

4x+8x= -8x + 24 + 8x

Simplify.

12x = 24

Divide both sides by 12.

12x/12 = 24/12

Simplfy.

x = 2

hope this helps! :)

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

Answer:

[tex]W = \frac{12}{17}[/tex] -- Women

[tex]M = \frac{5}{17}[/tex] --- Men

Step-by-step explanation:

Given

[tex]Men = 10[/tex] --- not 1010

[tex]Women = 24[/tex]

Solving (a) Fraction of Women

This is calculated as:

[tex]W = \frac{Women}{Men + Women}[/tex]

Substitute values for Women and Men

[tex]W = \frac{24}{10+24}[/tex]

[tex]W = \frac{24}{34}[/tex]

Simplify fraction

[tex]W = \frac{12}{17}[/tex]

Solving (b) Fraction of Men

This is calculated as:

[tex]M = \frac{Men}{Men + Women}[/tex]

Substitute values for Women and Men

[tex]M = \frac{10}{10+24}[/tex]

[tex]M = \frac{10}{34}[/tex]

Simplify fraction

[tex]M = \frac{5}{17}[/tex]

Answer:

[tex]\boxed{a = 3}[/tex]

Step-by-step explanation:

[tex] (using \: the \: points : (2, \: 7) = ( x_{1}, \: y_{1}\: \: ) \\ hence : (a, \: 2) = ( x_{2}, \: y_{2}\: \: ) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{2 - 7}{a - 2} \\ - 5 = \frac{2 - 7}{a - 2} \\ - 5(a - 2) = 2 - 7 \\ - 5a + 10 = 2 - 7 \\ - 5a = - 5 - 10 \\ - 5a = - 15 \\ a = \frac{ - 15}{ - 5} \\ \boxed{a = 3}[/tex]

Answer:

V=whl=2·2.5·4=20

Step-by-step explanation:

Answer:

2880 feet³

Step-by-step explanation:

since the question is asking for cubic feet we know we're finding volume.

v=l·w·b

v=4·24·30

=2880

Answer:

Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.

Step-by-step explanation:

Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:

(3/40) x 60 = Amy's speed

0.075 x 60 = Amy's speed

4.5 = Amy's speed

So Amy traveled 4.5 miles per hour.

(2/20) x 60 = Jim's speed

0.1 x 60 = Jim's velocity

6 = Jim's speed

Instead, Jim traveled 6 miles per hour.

Therefore, Jim was the one who traveled at a greater average speed.

Answer:

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] are inside this circular area.

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2 < 22[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10 < 22[/tex].

Step-by-step explanation:

Equation for a circle in 2D, with center [tex](a,\, b)[/tex] and radius [tex]r[/tex]:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

Compare this expression with the one from this question:

[tex](x - 5)^{2} + (y - 1)^{2} = 22 = \left(\sqrt{22}\right)^{2}[/tex].

Hence: [tex]a = 5[/tex], [tex]b = 1[/tex], and [tex]r = \sqrt{22}[/tex].

Therefore, [tex]\! (5,\, 1)[/tex] and [tex]\sqrt{22}[/tex] would be the center and the radius of the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

A point is inside a circle if and only the Euclidean distance between that point and the center of that circle is smaller than the radius of the circle. That is the same as requiring that the square of the Euclidean distance between these two points to be smaller than the square of the radius of the circle.

Formula for the Euclidean distance between [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex]:

[tex]\displaystyle \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2}}[/tex].

The square of the Euclidean distance between these two points would be:

[tex]\displaystyle (x_1 - x_2)^{2} + (y_1 - y_2)^{2}[/tex].

Calculate the square of the distance between [tex](6,\, 0)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](6,\, 0)[/tex] is inside this circle.

Similarly, calculate the square of the distance between [tex](8,\, 2)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](8,\, 2)[/tex] is also inside this circle.

Notice that the point [tex](x,\, y)[/tex] is on the 2D circle [tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex] if and only if [tex]x[/tex] and [tex]y[/tex] satisfy the equation of that circle.

On the other hand, [tex](x,\, y)[/tex] is inside this circle if and only [tex]x[/tex] and [tex]y[/tex] satisfy the inequality [tex](x - a)^{2} + (y - b)^{2} < r^{2}[/tex].

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] satisfy the inequality [tex](x - 5)^{2} + (y - 1)^{2} < 22[/tex]. Hence, both points are inside the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

Answer:

A. x = 16, y = 9√2

Step-by-step explanation:

✔️Let's find y first using trigonometric ratio:

Reference angle = 45°

Hypotenuse = y

Opposite = 9

Therefore,

Sin(45) = 9/y

y = 9/sin(45)

y = 9/(1/√2)

y = 9 × √2/1

y = 9√2

✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.

Adjacent side using Pythagorean Theorem would be,

Adj² = y² - 9²

Adj² = (9√2)² - 9²

Adj² = 162 - 81

Adj² = 81

Adj = √81

Adj = 9

x = adj + 7 = 9 + 7

x = 16

Answer:

3.590ft

Step-by-step explanation:

We know what the circumference of the circle is, and we need to find its diameter. Therefore, we need to find an equation that links the two together.

Well, what comes to mind is the fact that the circumeference, [tex]c[/tex], is equal to [tex]\pi[/tex] multiplied by the diameter, [tex]d[/tex]. We can express this like so:

[tex]c = \pi d[/tex].

In this scenario, we know what [tex]c[/tex] is, so we need to rearrange the formula to make [tex]d[/tex] the subject. Dividing both sides by [tex]\pi[/tex] will accomplish this, and gives us:

[tex]\frac{c}{\pi} = d[/tex].

So if we divide the circumference by [tex]\pi[/tex], we will find the diamater. Well,

[tex]\frac{11.277}{\pi} = 3.58958...[/tex]

and so to 3 decimal places we get the answer

[tex]d = 3.590\text{ft}[/tex].

Answer:

Step-by-step explanation:

You can change radicals to fractional exponents and vice versa. The 1/2 power means square root. The 1/3 power means the cubed root. etc etc

A:) [tex](81)^\frac{1}{2} =\sqrt{81} =9[/tex]

B:) [tex](125)^\frac{1}{3} =\sqrt[3]{125} =5[/tex]

C:) [tex](49)^\frac{3}{2}=\sqrt{(49)^3} =343[/tex]

D:) [tex](8)^\frac{5}{3}=\sqrt[3]{(8)^5}=32[/tex]

Answer:

7 weeks

Step-by-step explanation:

Answer:

7 weeks

Step-by-step explanation:

Answer:

a. Radius of DA - 2 cm.

b. Area of rectangle ABCD -

c. Area of shaded - 8-4π

d. Perimeter of shaded region - also 8-4π

Hope this helps!  

Answer:

DB!

Step-by-step explanation:

Question a: 3+3+2+2 = 10 dinners

Question b: 15-30 and 30-45, because most people choose that range.

Hope I helped!

Answer:

a) 10 b) 2-3 dollars

Step-by-step explanation:

a) 3+3+2+2

b) (2+2+3+3)/2 equal 2.5 mean, range between them is 2 to 3

Answer:

everything u chose is right

Step-by-step explanation:

50 = 20 + 4h

-20. -20

30/4= 4h/4

7.5 = h

So 50 = 20 + 4(7.5)

50 = 30 + 20

50 = 50

It's new position is 1121 feet below sea level.

(In this problem u are descending into a negative value so it made sense for me to add for some reason).

Hope this helps and have a good day.

Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.

-R3TR0 Z3R0

Answer:

yes

Step-by-step explanation:

50 can be the initial money in the account and she can be depositing 45 dollars every (w) weeks and it will show her (S) savings

Answer:

3/16

Step-by-step explanation:

P(6,7,8 and 'T') = 3/8 x 1/2 = 3/16

Answer:

12/64

Step-by-step explanation:

We have numbers 1-8 = /8

We have the numbers 6, 7, 8 on the spinner = 3/8

We have the event it doesn't get over 8 too = 8/8-3/8 = 5/8

To use if the question has two events for spinner.

We toss a coin = H or T = 1/2

We convert a 3/8 and 1/2 to same HCF = 4/8 = ( 2x 4 = 8)

3/8 x 4/8 = 12/64

Answer: $3.50

Step-by-step explanation:

Let the cost of domestic shipping be x.

Since the cost of international shipping is $2.50 greater than the cost of domestic shipping. This will be:

= x + 2.50

Since we are further told that three of the cards will be shipped domestically, and two will be shipped internationally and that $22.50 will be spent on shipping, this will be express in an equation as:

3x + 2(x + 2.50) = 22.50

3x + 2x + 5.00 = 22.50

5x = 22.50 - 5.00

5x = 17.50

x = 17.50/5

x = $3.50

The cost if domestic shipping is $3.50

Answer:

C

Step-by-step explanation:

circumfrence = 2 pi r

= 20* 3.14= 2*31.4= 62.8

or c

if my answer helped please mark as brainliest.

Answer:

62.8

Step-by-step explanation:

If your not aloud to don't but if you look it up there's a really good  calculator.

Answer:

1200 revolutions per second

Step-by-step explanation:

60 seconds per minute so multiply 60 x 20 to get 1,200

Answer:

Step-by-step explanation:

$120

Answer:

Step-by-step explanation:

Distribute the 4 into the parentheses.

[tex]-2m-8+12m-36[/tex]

Combine like terms

[tex]10m-44[/tex]

Answer:

10m - 44

Step-by-step explanation:

I hope this helps!